GCF of 1599/589, 3459/838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1599/589, 3459/838 i.e 3/493582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1599/589, 3459/838.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1599/589,3459/838?
Given fractions are 1599/589,3459/838
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1599/589,3459/838, numerators are 1599,3459
Denominators are 589,838
The GCF of 1599,3459 is 3 .
LCM of 589,838 is 493582.
The greatest common factor of 1599/589,3459/838 = [GCF of 1599,3459]/[LCM of 589,838]= 3/493582
Therefore, the GCF of 1599/589,3459/838 is 3/493582.
To find the highest common factor of 1599,3459, we have to find the factors of both numbers and list the highest common factor.
The factors of 1599 are 1, 3, 13, 39, 41, 123, 533, 1599
The factors of 3459 are 1, 3, 1153, 3459
The HCF of 1599,3459 is 3.
Lets's calculate GCF of 1599,3459
| 3 | 1599, 3459 |
| 533, 1153 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1599,3459 By Matching Biggest Common Factor Method
Now, list down the factors of 1599
:1,3,13,39,41,123,533,1599
Now, list down the factors of 3459
:1,3,1153,3459
Greatest Common Factor
We found the factors 1599,3459 . The biggest common factor number is the GCF number.
So the greatest common factor 1599,3459 is 3.
Lets's calculate LCM of 589,838
Given numbers has no common factors except 1. So, there LCM is their product i.e 493582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/493582
Therefore, the GCF of Fractions 1599/589,3459/838 is 3/493582
Least Common Multiple of 589,838 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 589,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,838) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,838) x common factors =1 x 1 = 1
LCM(589,838) = ( 589 × 838 ) / 1
LCM(589,838) = 493582 / 1
LCM(589,838) = 493582
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1599/589, 3459/838
1. What is the HCF of 1599,3459?
The HCF of 1599,3459 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1599/589, 3459/838?
Answer: GCF of Numerators as per given numbers 1599/589, 3459/838 is
GCF of Numerators i.e. for 1599,3459 is 3
LCM of denominators i.e. for 589,838 is 493582.
Thus, GCF of Fractions is 3/493582.Finally, GCF of Fractions for 1599/589, 3459/838 is 3/493582.